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EXPLICIT OPTICAL DROMIONS WITH KERR LAW HAVING FRACTIONAL TEMPORAL EVOLUTION

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dc.contributor.authorWang, G.W.
dc.contributor.authorZhou, Q.
dc.contributor.authorAlshomrani, A.S.
dc.contributor.authorBiswas, A.
dc.date.accessioned2024-12-27T09:54:38Z
dc.date.available2024-12-27T09:54:38Z
dc.date.issued2023
dc.description.abstractIn this work, we derived the (2+1)-dimensional Schrodinger equation from the (2+1)-dimensional Klein-Gordon equation. We also obtained the fractional order form of this equation at the same time so as to discover the connection between them. For the (2+1)-dimensional Klein-Gordon equation, symmetries and conservation laws are pres ented. For different gauge constraint, from the perspective of conservation laws, the corresponding symmetries are obtained. After that, based on the fractional complex transform, soliton solutions of the time fractional (2+1)-dimensional Schrodinger equation are displayed. Some figures are showed behaviors of soliton solutions. It is important to discover the relationships between these equations and to obtain their explicit solutions. These solutions will perhaps provide a theoretical basis for the explanation of complex nonlinear phenomena. From the results of this paper, it is clear that the Lie symmetry method is a particularly important tool for dealing with differential equations.
dc.identifier.citationEXPLICIT OPTICAL DROMIONS WITH KERR LAW HAVING FRACTIONAL TEMPORAL EVOLUTION / Wang, G.W. [et al.] // FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY. - 2023. - 31. - № 05. - 10.1142/S0218348X23500561
dc.identifier.doi10.1142/S0218348X23500561
dc.identifier.urihttps://www.doi.org/10.1142/S0218348X23500561
dc.identifier.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000999936900007
dc.identifier.urihttps://openrepository.mephi.ru/handle/123456789/29270
dc.relation.ispartofFRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
dc.titleEXPLICIT OPTICAL DROMIONS WITH KERR LAW HAVING FRACTIONAL TEMPORAL EVOLUTION
dc.typeArticle
dspace.entity.typePublication
oaire.citation.issue05
oaire.citation.volume31
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